Least Common Multiple (LCM) of 170 and 145
The least common multiple (LCM) of 170 and 145 is 4930.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 170 and 145?
First, calculate the GCD of 170 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 145 = 1 remainder 25 |
| 2 | 145 ÷ 25 = 5 remainder 20 |
| 3 | 25 ÷ 20 = 1 remainder 5 |
| 4 | 20 ÷ 5 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 83 and 105 | 8715 |
| 170 and 39 | 6630 |
| 33 and 177 | 1947 |
| 80 and 13 | 1040 |
| 157 and 200 | 31400 |